Question : Three successive discounts 22%, 17% and 11% are equivalent to a single discount of:
Option 1: approximately 42%
Option 2: approximately 25%
Option 3: approximately 50%
Option 4: approximately 45%
Correct Answer: approximately 42%
Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. So, a single equivalent discount of 17% and 22% $=17+22-\frac{17×22}{100}=39-3.74=35.26\%$ Now, a single equivalent discount of 35.26% and 11% $=35.26+11-\frac{35.26×11}{100}=46.16-3.88=42.28\% \approx42\%$ Hence, the correct answer is approximately 42%.
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Question : Three successive discounts of 12%, 13% and 11% are equivalent to an approximate single discount of:
Option 1: 40%
Option 2: 32%
Option 3: 35%
Option 4: 42%
Question : Two successive discounts of 30% and 20% are equivalent to a single discount of:
Option 1: 44%
Option 2: 52%
Option 3: 45%
Option 4: 50%
Question : A single discount equivalent to three successive discounts of 8%, 15% and 12% is:
Option 1: 17.5%
Option 2: 68.816%
Option 4: 31.184%
Question : A single discount equivalent to three successive discounts of 6%, 15% and 14% is:
Option 2: 31.286%
Option 3: 68.714%
Option 4: 34.357%
Question : What will be the net discount (in percentage) after two successive discounts of 50% and 50%?
Option 1: 85%
Option 2: 75%
Option 3: 100%
Option 4: 95%
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